We present a detailed analysis of the influence of the group velocity (GV) on the dynamics of optical pulses upon their propagation in one-dimensional photonic crystal waveguides (PhCW). The theoretical model used in our analysis incorporates the linear optical properties of the PhCW (GV dispersion and optical losses), free-carrier (FC) effects (FC dispersion and FC-induced optical losses) and nonlinear optical effects (Kerr nonlinearity and two-photon absorption). Our analysis shows that, unlike the case of uniform waveguides, the GV of the pulse, dispersion coefficients, and the waveguide nonlinear coefficient are periodic functions with respect to the propagation distance. We also demonstrate that linear and nonlinear effects depend on the group velocity, v g , as vg-1v_{g}^{-1} and vg-2v_{g}^{-2}, respectively.
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机译：我们提出了在光脉冲在一维光子晶体波导（PhCW）中传播时，群速度（GV）对光脉冲动力学的影响的详细分析。我们在分析中使用的理论模型结合了PhCW的线性光学特性（GV色散和光损耗），自由载流子（FC）效应（FC色散和FC引起的光损耗）和非线性光学效应（Kerr非线性和二阶非线性）。光子吸收）。我们的分析表明，与均匀波导的情况不同，脉冲的GV，色散系数和波导非线性系数是关于传播距离的周期函数。我们还证明了线性和非线性效应取决于群速度v g ，如v g -1 v_ {g} ^ {- 1}和v g -2 v_ {g} ^ {-2}。
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